Final answer:
To solve the given linear equation, terms on both sides are combined and simplified. The calculation leads to a result of J = -0.7222, which does not match any of the provided answer choices. A review of the original question for potential errors is recommended.
Step-by-step explanation:
To solve the linear equation 2.25 - 11J - 7.75 + 1.5J = 0.5J - 1, we start by combining like terms on both sides of the equation. This includes combining constants and coefficients of the variable J. First, add together the constants on the left side:
2.25 - 7.75 = -5.5.
Then, combine the coefficients of J on the left side:
-11J + 1.5J = -9.5J.
Now, rewrite the left side of the equation using these results:
-5.5 - 9.5J.
Next, we need to get all the terms with J on one side and the constants on the other. Subtract 0.5J from both sides to move all terms with J to the left:
-9.5J - 0.5J = -1 + 5.5.
This simplifies to:
-10J = 4.5.
Finally, divide both sides by -10 to isolate the variable J:
J = 4.5 / -10 = -0.45.
However, this result doesn't match any of the options provided. It's likely there was a mistake made during the calculation, or the initial problem stated was incorrect. Let's review and solve the equation again for accuracy:
Merging the terms correctly:
-11J + 1.5J + 0.5J = 1 + 5.5,
-9J = 6.5,
J = 6.5 / -9 = -0.7222.
Yet, this result still doesn't match any of the given options. The student should review and confirm the initial equation or the given options to ensure there is no typographical error in the question. If the equation was correct, none of the provided options (A, B, C, D) are valid as the answer to the equation is J = -0.7222.